The snub dodecadodecahedral graph is a quintic Cayley graph on 60 nodes and 150 edges that corresponds to the skeleton of the snub dodecadodecahedron.
The snub dodecadodecahedral graph is Hamiltonian and vertex-transitive.
It is implemented in the Wolfram Language as GraphData["SnubDodecadodecahedralGraph"].
